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1312401322431 = 32541926909461
BaseRepresentation
bin10011000110010001001…
…101101111000110111111
311122110112111121220110100
4103012101031233012333
5133000244214304211
62442524151012143
7163550346115353
oct23062115570677
94573474556410
101312401322431
1146664a3722a1
1219242866a053
13969b3444454
14477405d3463
1524212a1b156
hex1319136f1bf

1312401322431 has 12 divisors (see below), whose sum is σ = 1896040692520. Its totient is φ = 874772725680.

The previous prime is 1312401322429. The next prime is 1312401322433. The reversal of 1312401322431 is 1342231042131.

1312401322431 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 401 + 3 + 224 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (1312401322429) and next prime (1312401322433).

It is not a de Polignac number, because 1312401322431 - 21 = 1312401322429 is a prime.

It is a super-2 number, since 2×13124013224312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312401322395 and 1312401322404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312401322433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13405960 + ... + 13503501.

Almost surely, 21312401322431 is an apocalyptic number.

1312401322431 is a deficient number, since it is larger than the sum of its proper divisors (583639370089).

1312401322431 is a wasteful number, since it uses less digits than its factorization.

1312401322431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26914886 (or 26914883 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1312401322431 its reverse (1342231042131), we get a palindrome (2654632364562).

The spelling of 1312401322431 in words is "one trillion, three hundred twelve billion, four hundred one million, three hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 5419 16257 48771 26909461 80728383 242185149 145822369159 437467107477 1312401322431